Subgroups — C₇₉×#25690 #34137379

Order 20224.

1072 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₉×#3508	C₂	1	1	yes	maximal, characteristic
2	C₇₉×#3166	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₉×#3080	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₉×#2641	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₉×#2037	C₂	1	4	yes	maximal, complemented
6	C₇₉×#1995	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#1965	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₉×#1856	C₂	1	4	yes	maximal, complemented
9	C₇₉×#1759	C₂	1	1	yes	maximal, characteristic, complemented
10	#559×C₇₉	—	2	2	no	—
11	#550×C₇₉	—	2	2	no	—
12	#546×C₇₉	—	2	4	no	—
13	#540×C₇₉	—	2	2	no	—
14	#535×C₇₉	C₂²	1	2	yes	—
15	#533×C₇₉	C₂²	1	1	yes	characteristic
16	#532×C₇₉	—	2	2	no	—
17	C₂×#127×C₇₉	C₂²	1	1	yes	characteristic
18	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic
19	#518×C₇₉	C₂²	1	2	yes	—
20	C₄×#41×C₇₉	C₂²	1	1	yes	characteristic
21	#501×C₇₉	—	2	2	no	—
22	#499×C₇₉	—	2	2	no	—
23	#479×C₇₉	—	2	2	no	—
24	#478×C₇₉	—	2	2	no	—
25	#428×C₇₉	C₂²	1	4	yes	—
26	#428×C₇₉	C₂²	1	2	yes	—
27	#423×C₇₉	C₂²	1	1	yes	characteristic
28	C₂×#104×C₇₉	C₂²	1	2	yes	—
29	#417×C₇₉	C₂²	1	2	yes	—
30	C₂×#100×C₇₉	C₂²	1	4	yes	—
31	C₄×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
32	#394×C₇₉	—	2	4	no	—
33	#390×C₇₉	C₂²	1	4	yes	—
34	#376×C₇₉	C₂²	1	1	yes	characteristic
35	#339×C₇₉	C₂²	1	4	yes	—
36	#339×C₇₉	C₂²	1	2	yes	—
37	C₂×#41×C₇₉	—	2	4	no	—
38	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
39	C₂²×D₄×C₇₉	D₄	1	4	yes	—
40	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
41	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
42	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
43	C₄⋊Q₈×C₇₉	D₄	1	2	yes	—
44	#127×C₇₉	—	2	2	no	—
45	#127×C₇₉	—	2	1	no	—
46	#127×C₇₉	—	2	1	no	—
47	#127×C₇₉	—	2	2	no	—
48	#125×C₇₉	—	2	2	no	—
49	#125×C₇₉	—	2	1	no	—
50	#125×C₇₉	—	2	1	no	—
51	#125×C₇₉	D₄	1	2	yes	—
52	#124×C₇₉	—	2	4	no	—
53	#124×C₇₉	—	2	2	no	—
54	#123×C₇₉	—	2	8	no	—
55	C₂²⋊Q₈×C₇₉	—	2	2	no	—
56	#121×C₇₉	—	2	4	no	—
57	#121×C₇₉	—	2	8	no	—
58	#121×C₇₉	—	2	4	no	—
59	#120×C₇₉	—	2	4	no	—
60	C₄×Q₈×C₇₉	—	2	2	no	—
61	C₄×Q₈×C₇₉	D₄	1	2	yes	—
62	C₄×D₄×C₇₉	—	2	4	no	—
63	C₄×D₄×C₇₉	—	2	2	no	—
64	C₄×D₄×C₇₉	—	2	4	no	—
65	C₄×D₄×C₇₉	—	2	4	no	—
66	C₄×D₄×C₇₉	D₄	1	2	yes	—
67	#117×C₇₉	—	2	1	no	—
68	#117×C₇₉	C₂³	1	1	yes	characteristic
69	#117×C₇₉	C₂³	1	2	yes	—
70	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
71	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
72	C₂×C₂²⋊C₄×C₇₉	—	2	4	no	—
73	C₂×C₂²⋊C₄×C₇₉	—	2	8	no	—
74	C₂×C₄²×C₇₉	—	2	1	no	—
75	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
76	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
77	#107×C₇₉	—	2	2	no	—
78	#107×C₇₉	—	2	4	no	—
79	#106×C₇₉	—	2	2	no	—
80	#106×C₇₉	—	2	4	no	—
81	C₄⋊C₈×C₇₉	—	2	2	no	—
82	#104×C₇₉	—	2	4	no	—
83	#103×C₇₉	—	2	2	no	—
84	#102×C₇₉	—	2	2	no	—
85	#100×C₇₉	—	2	8	no	—
86	#97×C₇₉	—	2	1	no	—
87	C₄×C₈×C₇₉	—	2	1	no	—
88	#95×C₇₉	—	2	2	no	—
89	C₂⁴×C₇₉	C₂×D₄	1	4	yes	—
90	#41×C₇₉	—	2	2	no	—
91	#41×C₇₉	—	2	2	no	—
92	#41×C₇₉	—	8	8	no	—
93	C₂×Q₈×C₇₉	—	2	2	no	—
94	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
95	C₂×D₄×C₇₉	—	2	1	no	—
96	C₂×D₄×C₇₉	—	2	8	no	—
97	C₂×D₄×C₇₉	—	2	4	no	—
98	C₂×D₄×C₇₉	—	2	4	no	—
99	C₂×D₄×C₇₉	—	2	2	no	—
100	C₂×D₄×C₇₉	—	2	2	no	—
101	C₂×D₄×C₇₉	—	2	4	no	—
102	C₂×D₄×C₇₉	—	2	4	no	—
103	C₂×D₄×C₇₉	—	8	4	no	—
104	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₇₉	—	2	8	no	—
106	C₂²×C₄×C₇₉	—	2	2	no	—
107	C₂²×C₄×C₇₉	—	2	1	no	—
108	C₂²×C₄×C₇₉	—	2	2	no	—
109	C₂²×C₄×C₇₉	—	2	2	no	—
110	C₂²×C₄×C₇₉	C₂×D₄	1	2	yes	—
111	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
112	M₁₆×C₇₉	—	2	4	no	—
113	M₁₆×C₇₉	—	2	2	no	—
114	M₁₆×C₇₉	#41	1	4	yes	complemented
115	C₂×C₈×C₇₉	—	2	2	no	—
116	C₂×C₈×C₇₉	—	2	2	no	—
117	C₄⋊C₄×C₇₉	—	2	2	no	—
118	C₄⋊C₄×C₇₉	—	2	2	no	—
119	C₄⋊C₄×C₇₉	—	2	4	no	—
120	C₄⋊C₄×C₇₉	—	2	2	no	—
121	C₄⋊C₄×C₇₉	—	2	2	no	—
122	C₄⋊C₄×C₇₉	—	4	2	no	—
123	C₄⋊C₄×C₇₉	—	4	2	no	—
124	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
125	C₄⋊C₄×C₇₉	C₂×D₄	1	4	yes	—
126	C₂²⋊C₄×C₇₉	—	2	8	no	—
127	C₂²⋊C₄×C₇₉	—	2	8	no	—
128	C₂²⋊C₄×C₇₉	—	2	1	no	—
129	C₂²⋊C₄×C₇₉	—	2	2	no	—
130	C₂²⋊C₄×C₇₉	—	2	2	no	—
131	C₂²⋊C₄×C₇₉	—	8	8	no	—
132	C₄²×C₇₉	—	2	2	no	—
133	C₄²×C₇₉	—	2	1	no	—
134	C₄²×C₇₉	—	2	2	no	—
135	C₄²×C₇₉	—	2	2	no	—
136	C₄²×C₇₉	—	2	2	no	—
137	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
139	C₄²×C₇₉	C₂×D₄	1	2	yes	—
140	C₂³×C₇₉	—	2	4	no	—
141	C₂³×C₇₉	—	2	1	no	—
142	C₂³×C₇₉	—	2	8	no	—
143	C₂³×C₇₉	—	4	8	no	—
144	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
145	Q₈×C₇₉	—	2	1	no	—
146	Q₈×C₇₉	—	2	1	no	—
147	Q₈×C₇₉	—	4	4	no	—
148	D₄×C₇₉	—	2	1	no	—
149	D₄×C₇₉	—	2	1	no	—
150	D₄×C₇₉	—	4	8	no	—
151	D₄×C₇₉	—	4	2	no	—
152	D₄×C₇₉	—	4	2	no	—
153	D₄×C₇₉	—	4	2	no	—
154	D₄×C₇₉	—	4	4	no	—
155	D₄×C₇₉	—	8	4	no	—
156	D₄×C₇₉	—	8	8	no	—
157	C₂×C₄×C₇₉	—	2	1	no	—
158	C₂×C₄×C₇₉	—	2	2	no	—
159	C₂×C₄×C₇₉	—	2	4	no	—
160	C₂×C₄×C₇₉	—	4	2	no	—
161	C₂×C₄×C₇₉	—	4	4	no	—
162	C₂×C₄×C₇₉	—	4	2	no	—
163	C₂×C₄×C₇₉	—	4	4	no	—
164	C₂×C₄×C₇₉	—	4	4	no	—
165	C₂×C₄×C₇₉	—	4	2	no	—
166	C₂×C₄×C₇₉	—	4	2	no	—
167	C₂×C₄×C₇₉	—	8	8	no	—
168	C₂×C₄×C₇₉	#120	1	2	yes	—
169	C₂×C₄×C₇₉	#120	1	2	yes	—
170	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
173	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
174	C₈×C₇₉	—	2	4	no	—
175	C₈×C₇₉	—	4	2	no	—
176	C₂²×C₇₉	—	2	2	no	—
177	C₂²×C₇₉	—	4	1	no	—
178	C₂²×C₇₉	—	4	4	no	—
179	C₂²×C₇₉	—	4	2	no	—
180	C₂²×C₇₉	—	4	8	no	—
181	C₂²×C₇₉	—	8	8	no	—
182	C₂²×C₇₉	C₂×#120	1	1	yes	characteristic
183	C₂²×C₇₉	#547	1	2	yes	—
184	C₄×C₇₉	—	2	2	no	—
185	C₄×C₇₉	—	2	2	no	—
186	C₄×C₇₉	—	4	1	no	—
187	C₄×C₇₉	—	4	2	no	—
188	C₄×C₇₉	—	4	4	no	—
189	C₄×C₇₉	—	8	2	no	—
190	C₄×C₇₉	—	8	2	no	—
191	C₄×C₇₉	#532	1	1	yes	characteristic
192	C₄×C₇₉	#536	1	1	yes	characteristic
193	C₄×C₇₉	#548	1	2	yes	—
194	#25690	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
195	C₂×C₇₉	—	2	2	no	—
196	C₂×C₇₉	—	8	1	no	—
197	C₂×C₇₉	—	8	4	no	—
198	C₂×C₇₉	#2432	1	1	yes	characteristic
199	C₂×C₇₉	#3019	1	2	yes	—
200	#3508	C₂×C₇₉	1	1	yes	characteristic
201	#3166	C₂×C₇₉	1	1	yes	characteristic, complemented
202	#3080	C₂×C₇₉	1	1	yes	characteristic, complemented
203	#2641	C₂×C₇₉	1	1	yes	characteristic, complemented
204	#2037	C₂×C₇₉	1	4	yes	complemented
205	#1995	C₂×C₇₉	1	1	yes	characteristic, complemented
206	#1965	C₂×C₇₉	1	1	yes	characteristic, complemented
207	#1856	C₂×C₇₉	1	4	yes	complemented
208	#1759	C₂×C₇₉	1	1	yes	characteristic, complemented
209	C₇₉	#25690	1	1	yes	characteristic, direct product factor, Sylow
210	#559	—	2	2	no	—
211	#550	—	2	2	no	—
212	#546	—	2	4	no	—
213	#540	—	2	2	no	—
214	#535	C₂²×C₇₉	1	2	yes	—
215	#533	C₂²×C₇₉	1	1	yes	characteristic
216	#532	—	2	2	no	—
217	C₂×#127	C₂²×C₇₉	1	1	yes	characteristic
218	C₂×#125	C₂²×C₇₉	1	1	yes	characteristic
219	#518	C₂²×C₇₉	1	2	yes	—
220	C₄×#41	C₂²×C₇₉	1	1	yes	characteristic
221	#501	—	2	2	no	—
222	#499	—	2	2	no	—
223	#479	—	2	2	no	—
224	#478	—	2	2	no	—
225	#428	C₂²×C₇₉	1	2	yes	—
226	#428	C₂²×C₇₉	1	4	yes	—
227	#423	C₂²×C₇₉	1	1	yes	characteristic
228	C₂×#104	C₂²×C₇₉	1	2	yes	—
229	#417	C₂²×C₇₉	1	2	yes	—
230	C₂×#100	C₂²×C₇₉	1	4	yes	—
231	C₄×M₁₆	C₂²×C₇₉	1	1	yes	characteristic
232	#394	—	2	4	no	—
233	#390	C₂²×C₇₉	1	4	yes	—
234	#376	C₂²×C₇₉	1	1	yes	characteristic
235	#339	C₂²×C₇₉	1	2	yes	—
236	#339	C₂²×C₇₉	1	4	yes	—
237	C₂×#41	—	2	4	no	—
238	C₂×#41	C₂³×C₇₉	1	1	yes	characteristic
239	C₂²×D₄	D₄×C₇₉	1	4	yes	—
240	C₂²×D₄	C₂³×C₇₉	1	2	yes	—
241	C₂×M₁₆	C₂³×C₇₉	1	2	yes	—
242	C₂×M₁₆	C₂³×C₇₉	1	2	yes	—
243	C₄⋊Q₈	D₄×C₇₉	1	2	yes	—
244	#127	—	2	2	no	—
245	#127	—	2	1	no	—
246	#127	—	2	1	no	—
247	#127	—	2	2	no	—
248	#125	—	2	2	no	—
249	#125	—	2	1	no	—
250	#125	—	2	1	no	—
251	#125	D₄×C₇₉	1	2	yes	—
252	#124	—	2	4	no	—
253	#124	—	2	2	no	—
254	#123	—	2	8	no	—
255	C₂²⋊Q₈	—	2	2	no	—
256	#121	—	2	4	no	—
257	#121	—	2	8	no	—
258	#121	—	2	4	no	—
259	#120	—	2	4	no	—
260	C₄×Q₈	—	2	2	no	—
261	C₄×Q₈	D₄×C₇₉	1	2	yes	—
262	C₄×D₄	—	2	4	no	—
263	C₄×D₄	—	2	2	no	—
264	C₄×D₄	—	2	4	no	—
265	C₄×D₄	—	2	4	no	—
266	C₄×D₄	D₄×C₇₉	1	2	yes	—
267	#117	—	2	1	no	—
268	#117	C₂³×C₇₉	1	1	yes	characteristic
269	#117	C₂³×C₇₉	1	2	yes	—
270	C₂×C₄⋊C₄	—	2	2	no	—
271	C₂×C₄⋊C₄	C₂³×C₇₉	1	2	yes	—
272	C₂×C₂²⋊C₄	—	2	4	no	—
273	C₂×C₂²⋊C₄	—	2	8	no	—
274	C₂×C₄²	—	2	1	no	—
275	C₂×C₄²	C₂³×C₇₉	1	2	yes	—
276	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
277	#107	—	2	2	no	—
278	#107	—	2	4	no	—
279	#106	—	2	2	no	—
280	#106	—	2	4	no	—
281	C₄⋊C₈	—	2	2	no	—
282	#104	—	2	4	no	—
283	#103	—	2	2	no	—
284	#102	—	2	2	no	—
285	#100	—	2	8	no	—
286	#97	—	2	1	no	—
287	C₄×C₈	—	2	1	no	—
288	#95	—	2	2	no	—
289	C₂⁴	C₂×D₄×C₇₉	1	4	yes	—
290	#41	—	2	2	no	—
291	#41	—	2	2	no	—
292	#41	—	8	8	no	—
293	C₂×Q₈	—	2	2	no	—
294	C₂×Q₈	C₂×D₄×C₇₉	1	1	yes	characteristic
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	2	8	no	—
297	C₂×D₄	—	2	4	no	—
298	C₂×D₄	—	2	4	no	—
299	C₂×D₄	—	2	2	no	—
300	C₂×D₄	—	2	2	no	—
301	C₂×D₄	—	2	4	no	—
302	C₂×D₄	—	2	4	no	—
303	C₂×D₄	—	8	4	no	—
304	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
305	C₂²×C₄	—	2	8	no	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	—	2	1	no	—
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	C₂×D₄×C₇₉	1	2	yes	—
311	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
312	M₁₆	—	2	2	no	—
313	M₁₆	—	2	4	no	—
314	M₁₆	#41×C₇₉	1	4	yes	complemented
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	4	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	4	2	no	—
323	C₄⋊C₄	—	4	2	no	—
324	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
325	C₄⋊C₄	C₂×D₄×C₇₉	1	4	yes	—
326	C₂²⋊C₄	—	2	8	no	—
327	C₂²⋊C₄	—	2	8	no	—
328	C₂²⋊C₄	—	2	1	no	—
329	C₂²⋊C₄	—	2	2	no	—
330	C₂²⋊C₄	—	2	2	no	—
331	C₂²⋊C₄	—	8	8	no	—
332	C₄²	—	2	2	no	—
333	C₄²	—	2	1	no	—
334	C₄²	—	2	2	no	—
335	C₄²	—	2	2	no	—
336	C₄²	—	2	2	no	—
337	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
338	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
339	C₄²	C₂×D₄×C₇₉	1	2	yes	—
340	C₂³	—	2	4	no	—
341	C₂³	—	2	1	no	—
342	C₂³	—	2	8	no	—
343	C₂³	—	4	8	no	—
344	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
345	Q₈	—	2	1	no	—
346	Q₈	—	2	1	no	—
347	Q₈	—	4	4	no	—
348	D₄	—	2	1	no	—
349	D₄	—	2	1	no	—
350	D₄	—	4	8	no	—
351	D₄	—	4	2	no	—
352	D₄	—	4	2	no	—
353	D₄	—	4	2	no	—
354	D₄	—	4	4	no	—
355	D₄	—	8	4	no	—
356	D₄	—	8	8	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	2	4	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	4	4	no	—
362	C₂×C₄	—	4	2	no	—
363	C₂×C₄	—	4	4	no	—
364	C₂×C₄	—	4	4	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	4	2	no	—
367	C₂×C₄	—	8	8	no	—
368	C₂×C₄	#120×C₇₉	1	2	yes	—
369	C₂×C₄	#120×C₇₉	1	2	yes	—
370	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
371	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
372	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
373	C₂×C₄	2₋¹⁺⁴×C₇₉	1	2	yes	—
374	C₈	—	2	4	no	—
375	C₈	—	4	2	no	—
376	C₂²	—	2	2	no	—
377	C₂²	—	4	2	no	—
378	C₂²	—	4	8	no	—
379	C₂²	—	4	1	no	—
380	C₂²	—	4	4	no	—
381	C₂²	—	8	8	no	—
382	C₂²	C₂×#120×C₇₉	1	1	yes	characteristic
383	C₂²	#547×C₇₉	1	2	yes	—
384	C₄	—	2	2	no	—
385	C₄	—	2	2	no	—
386	C₄	—	4	2	no	—
387	C₄	—	4	4	no	—
388	C₄	—	4	1	no	—
389	C₄	—	8	2	no	—
390	C₄	—	8	2	no	—
391	C₄	#532×C₇₉	1	1	yes	characteristic
392	C₄	#536×C₇₉	1	1	yes	characteristic
393	C₄	#548×C₇₉	1	2	yes	—
394	C₂	—	2	2	no	—
395	C₂	—	8	4	no	—
396	C₂	—	8	1	no	—
397	C₂	C₇₉×#2432	1	1	yes	characteristic
398	C₂	C₇₉×#3019	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂×#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₉
prime radical	C₇₉×#3508	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ C₂×C₄²×C₇₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₇₉×#3166	C₂	semidirect
3. C₇₉×#3080	C₂	semidirect
4. C₇₉×#2641	C₂	semidirect
5. C₇₉×#2037	C₂	semidirect
6. C₇₉×#1995	C₂	semidirect
7. C₇₉×#1965	C₂	semidirect
8. C₇₉×#1856	C₂	semidirect
9. C₇₉×#1759	C₂	semidirect
114. M₁₆×C₇₉	#41	semidirect
194. #25690	C₇₉	direct (N × H)
201. #3166	C₂×C₇₉	semidirect
202. #3080	C₂×C₇₉	semidirect
203. #2641	C₂×C₇₉	semidirect
204. #2037	C₂×C₇₉	semidirect
205. #1995	C₂×C₇₉	semidirect
206. #1965	C₂×C₇₉	semidirect
207. #1856	C₂×C₇₉	semidirect
208. #1759	C₂×C₇₉	semidirect
209. C₇₉	#25690	direct (N × H)
314. M₁₆	#41×C₇₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇₉×#3508	2
C₇₉×#3166	2
C₇₉×#3080	2
C₇₉×#2641	2
C₇₉×#2037	2
C₇₉×#1995	2
C₇₉×#1965	2
C₇₉×#1856	2
C₇₉×#1759	2
#25690	79

Subgroups — C79×#25690 #34137379

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#25690 #34137379